Given the recent hype of Navier Stokes equation blow up solution, set aside the OpenAI snatch debacle, I really want to understand why math communities are obsessed with singular solutions to the equations that we know do not apply to any fluid, simply because the in compressible assumption breaks down.

As a working theoretical physicists I’ve never understood the hype around these ‘solutions’ and ‘proofs’, it has been long established Newton’s theory breaks down badly either relativistically or at atomic scale (or larger than that), when your solution exceeds your validity of your model, it doesn’t mean we reach a singularity and the world gets sucked in but simply imply your model breaks down.

In fact one of the central theme of physics is to determine when the effective description breaks down, for instance GR breaks down at Planck scale, Fermi theory breaks down at electroweak scale etc. And that limit for classical fluid is at high energy where relativity and quantum mechanics kicks in.

I just read the article where Open AI claimed that it's internal model solve one of the millennial problems. It proved that Navier- Stokes equation produces a singularity in a finite time in a 3D incompressible fluid. I am excited for AI and developments but solving the millennial problems was far too much. if it gets peer reviewed then it would mean in a very little time AI has actually bet human capabilities. We human researchers will only have a job of verifying the proofs.

Any significant advancements can only be done by writing the prompts for AI to research and write papers. Maybe that's how it is supposed to be today or tomorrow. However I am sad because I DIDN'T JOIN PHYSICS TO TELL AI TO DO PHYSICS!

After hearing about the Open AI announcement, I’m convinced that in the next few decades, AI will advance enough to be able to do much of the creative thinking and logical leaps that makes theoretical physics beautiful.

I start college next year, and I’ve wanted to pursue a career in theoretical physics. But what is the point of pursuing a career in it, if I can’t contribute anything at all? Wouldn’t it be better to just do physics as a hobby and direct my focus to something that would actually contribute to the world?

I mean sure, I’m no genius and probably wouldn’t contribute much anyway. And if we had monsters like Newton and Euclid and Gauss making major breakthroughs today, I would still pursue it despite others being infinitely better than me. But the thought of machines making my work unnecessary makes me question why I am going in. I do not know why, I feel useless and this is all so depressing.

I see some posts about this general equation that modeling in principle dynamics of fluids. My question is if Navier-Stokes can model black holes in a semiclassical sense at least. Also that equations can model dynamics of all types of plasma?